КНИГИ НА АНГЛИЙСКИЙ ЯЗЫКЕ, ИМЕЮЩЕЕ ОТНОШЕНИЕ К СЛОВУ «GEODESIC LINE»
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1
Encyclopaedia of Mathematics
GEODESIC LINE geometry to spaces of a more general type. The definitions of
geodesic lines in various spaces depend on the particular structure (metric, line
element, linear connection) on which the geometry of the particular space is
based ...
2
Gear Geometry and Applied Theory
One of rhese curves is the geodesic line that is unique for the considered
common unit tangent t. Thus, the curve torsion of the geodesic line is the same as
the surface torsion of any surface curve that is in tangency with the geodesic line.
Faydor L. Litvin, Alfonso Fuentes,
2004
A geodesic line is completely and uniquely determined by any two points. 2. A
geodesic surface is completely and uniquely determined by any three points not
in the same geodesic line. 3. If two points on a geodesic surface are connected
by ...
4
Foundations of Hyperbolic Manifolds
Then there is a k > 0 such that if A : R I X is a geodesic line, then A restricts to a
geodesic arc on the interval [—k, Proof: Let k: be as in Axiom 3 for a geometric
space. Then 14: has the desired property by Axioms 3 and 4 and Theorem 8.1.1.
5
Glossary of Mapping Science
Also called an orthodrome, geodesic line or geodetic line. (The last term should
be applied only to a geodesic on a rotational ellipsoid.) In geodesy, geodesic is
understood to mean the shortest line, on a specified surface, between two points
...
American Society of Civil Engineers,
1994
6
Organizations and Strategies in Astronomy
if 60 E [0,27r) \ {7r/2,37T/2} and c = sign(sin#0) cos0\S22wo °r gven UO,UQ, then
a curve with a parametric representation xc(ul) = xc(ul,u2) is a geodesic line in a
neighborhood of (UQ, u2,) if anc' u V?(U1) — UQ = ±C / ~ C2 du. (6.3) It follows ...
7
Contemporary Geometry and Related Topics, Proceedings of the ...
if 00 E [0,21r) \ {Tr/2,31r/2} and c = sign(sin190) cos001/g2g(u,1,) for given u11),u
§, then a curve with a parametric representation :E'c(u1) : ai'c(u1,u2) is a
geodesic line in a neighborhood of (u11,, 11%,) if and only if 1 u2(111) _ rig = :l:c[
~-ii ...
Let X be a hyperbolic geodesic space, and I : R — , X a geodesic line, that is, an
isometric embedding of R. Then, its endpoints /(oo),/(— oo) £ dX can be naturally
and uniquely defined and /(oo) ^ /(— oo). Similarly, for a geodesic ray r : [Q.oo) ...
9
Flows on 2-dimensional Manifolds: An Overview
There exist geodesic lines (with self-intersections) which approximate any
geodesic line on M; this fact is due to Artin [53] who proved regional transitivity of
the geodesic flow. Geodesic flows enjoy even stronger approximation property
such ...
Igor Nikolaev, Evgeny Zhuzhoma,
1999
10
Handbook of Mathematics
Concept of Geodesic Line (see also 3.4.1.1, 3., p. 159). A theoretic curve of the
surface can go through every point P(u v) of the surface in every direction
determined by the di erential quotient dv du , and it is called a geodesic line. It
has the ...
I.N. Bronshtein, K.A. Semendyayev, Gerhard Musiol,
2007
НОВОСТИ, В КОТОРЫХ ВСТРЕЧАЕТСЯ ТЕРМИН «GEODESIC LINE»
Здесь показано, как национальная и международная пресса использует термин
geodesic line в контексте приведенных ниже новостных статей.
Gravity, by George Gamow [Special Archive Article]
In three-dimensional space a geodesic line is by definition the path along which a light ray would propagate. Consider a triangle formed by ... «Scientific American, Мар 11»